This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A194342 #5 Mar 30 2012 18:57:43 %S A194342 2,2,2,2,2,2,1,3,2,2,1,2,3,1,3,2,2,2,2,2,2,2,2,2,2,2,2,2,1,2,2,2,3,2, %T A194342 2,2,2,1,3,2,2,2,1,3,2,2,1,3,2,1,3,3,1,2,2,1,2,3,2,2,2,2,2,2,1,3,1,2, %U A194342 2,2,3,1,3,2,1,3,2,2,2,2,2,2,3,1,3,1,3,1,3,1,2,2,2,1,3,2,2,1,3 %N A194342 Triangular array: g(n,k)=number of fractional parts (i*r) in interval [(k-1)/n, k/n], for 1<=i<=2n, 1<=k<=n, r=3-e. %C A194342 See A194285. %e A194342 First eight rows: %e A194342 2 %e A194342 2..2 %e A194342 2..2..2 %e A194342 1..3..2..2 %e A194342 1..2..3..1..3 %e A194342 2..2..2..2..2..2 %e A194342 2..2..2..2..2..2..2 %e A194342 1..2..2..2..3..2..2..2 %t A194342 r = 3-E; %t A194342 f[n_, k_, i_] := If[(k - 1)/n <= FractionalPart[i*r] < k/n, 1, 0] %t A194342 g[n_, k_] := Sum[f[n, k, i], {i, 1, 2n}] %t A194342 TableForm[Table[g[n, k], {n, 1, 14}, {k, 1, n}]] %t A194342 Flatten[%] (* A194342 *) %Y A194342 Cf. A194285. %K A194342 nonn,tabl %O A194342 1,1 %A A194342 _Clark Kimberling_, Aug 22 2011